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Finding the Third Proportional to 40,829.06 and 85,400.58

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Solution

The third proportional to 40,829.06 and 85,400.58 is: 178,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,829.06 : 85,400.58 = 85,400.58 : x
  2. Step 2: Convert to fraction form
    40,829.06/85,400.58 = 85,400.58/x
  3. Step 3: Cross multiply
    40,829.06x = 85,400.58 × 85,400.58
  4. Step 4: Simplify right side
    40,829.06x = 7,293,258,744.08
  5. Step 5: Solve for x
    x = 7,293,258,744.08/40,829.06
  6. Step 6: Final answer
    x = 178,629.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.